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Finding the Fourth Proportional to 2,375.11, 3,577.66 and 2,194.68

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Solution

The fourth proportional to 2,375.11, 3,577.66 and 2,194.68 is: 3,305.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.11 : 3,577.66 = 2,194.68 : x
  2. Step 2: Convert to fraction form
    2,375.11/3,577.66 = 2,194.68/x
  3. Step 3: Cross multiply
    2,375.11x = 3,577.66 × 2,194.68
  4. Step 4: Simplify right side
    2,375.11x = 7,851,818.85
  5. Step 5: Solve for x
    x = 7,851,818.85/2,375.11
  6. Step 6: Final answer
    x = 3,305.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.